Answer:
42 and 72
Step-by-step explanation:
Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Answer:
Let x = the number of hotdogs
Let y = the number of tacos
3.5x+4y=63
x=y+3
This solution defines a system of equations for a problem about purchasing hotdogs and tacos at a certain value. Quantity and value equations are defined as H=T+3 and 3.50H+4T=63 respectively, with H and T standing for number of hotdogs and tacos.
Explanation:The question asks us to define a system of equations for Kayla's purchase of hotdogs and tacos. Let's denote the number of hotdogs as H and the number of tacos as T. As per the question, we have two conditions: Kayla spent $63 in total and she bought 3 more hotdogs than tacos. Therefore we can define below equations:
Quantity equation: H = T+3 (Kayla bought 3 more hotdogs than tacos)Value equation: 3.50H + 4T = $63 (Total money spent)These two equations can then be solved simultaneously to find the number of hotdogs (H) and tacos (T) Kayla bought.
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Kroger has 12 ounces of orange juice for $1.95 and Food Lion has 18 ounces for $2.10. Which store has the better but. Round to nearest hundredth place.
Answer: the one that sells 12 ounces for 1.95
Step-by-step explanation:
A: 1.95÷12=0.1625
B: 2.10÷18=0.1166666667
A gets more money.
Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???
Solve 4(4f-9)=-(2-f)
Answer:
f = [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
1. 4(4f - 9) = -(2-f) distribute the negative
2. 4(4f - 9) = -2 + f Distribute the 4
3. 16f - 9 = -2 + f Subtract f on both sides
4. 15f - 9 = -2 Add 9 on both sides
5. 15f = 7 Divide both equations by 15
6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]
f = [tex]\frac{7}{15}[/tex]
I don’t know how to figure out this question.
Kim wrote 57,000 in expanded form. Which number is NOT one of the numbers that Kim wrote?
A. 50,000
B. 7,000
C. 60
D. 4
In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.
What is meant by expanded form?The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.
The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.
The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.
Therefore,
Expanded Form of 57,000
57,000 = 50,000 + 7,000.
Hence, In expanded form, 57,000 equals 50,000 + 7,000.
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You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold at the swim meet
Answer:
1x + 0.5y = $150
Step-by-step explanation:
x = hot dog and each hot dog is sold for $1. We will multiply each hot dog sold by $1.
y = soda and each soda is sold for $0.50. We will multiply each soda sold by $0.50.
Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2nd part of the trip take? How far did he drive during the 2nd part of his trip?
Answer:
Dave drove 168 miles during the 2nd part of the trip
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of Dave for part of the trip = 55 mph
Speed of Dave the rest of the trip = 60 mph
Total time of the round trip = 4 hours 12 minutes
Total distance of the trip = 245 miles
2. How far did Dave drive during the 2nd part of his trip?
Let's recall that the formula of speed is:
Speed = Distance/Time, therefore Distance = Speed * Time
x = Time of part of the trip
4 hours 12 minutes - x = Time of the rest of the trip
4.2 hours - x = Time of the rest of the trip
Now, we can write solve for x, this way:
55 * x + 60 (4.2 - x) = 245
55x + 252 - 60x = 245
-5x = 245 - 252
-5x = -7
x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8
1st part of the trip = 55 * 1.4 = 77 miles
2nd part of the trip = 2.8 * 60 = 168 miles
Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part
Find the area of the shape shown
Answer:
The area is 18un^2
Step-by-step explanation:
The trapezoid area formula is (b1+b2)*h/2
so the two bases are 9 and 3. add them 9+3 = 12
the height is 3 multiply 12*3 = 36
then divide by two 36/2 = 18
Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. So, he'd like to see
some moderate return on his investments in a year. He also has more faith in Investments issued by the government than those issued by
private companies. Which investment would be a good choice for Denzel?
A commodity stocks
B. retirement accounts
ec short-term bonds
D. US Treasury bonds
Answer:Its D, just took the test.
Step-by-step explanation:
The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.
Explanation:Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.
It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.
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Margaret makes bracelets and sells them to tourists. The function s(t) approximates how many bracelets Margaret makes per hour. The function W(h) represents how hours per week Margaret spends making bracelets. What are the units of measurement for the composite function s(W(h))?
bracelets over hour
hours over week
weeks over bracelet
bracelets over week
Answer: bracelets over week
Step-by-step explanation:
A composite function f(g(x)) is a function made by combining two functions, where one function (g(x)) is behaving like independent variable and the other (f) is dependent such that the domain of f becomes g(x).Given : Margaret makes bracelets and sells them to tourists.
The function s(t) approximates how many bracelets Margaret makes per hour.
The function W(h) represents how hours per week Margaret spends making bracelets.
Here in s(W(h)) , the domain of s becomes W(h).
Thus, the units of measurement for the composite function s(W(h)) is bracelets over week.
Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made
208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.
How many baby dinosaurs and adult dinosaurs were there?
Answer:
12
Step-by-step explanation:
baby = b
adult = a
b=3a
15*3a + 7a = 208
45a + 7a = 208
52a = 208
a=4
there were 4 adult dinosaurs
there were 12 baby dinosaurs
Answer:
12 adults 4 babies
Step-by-step explanation:
The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rectangle
Answer:
lenght = 13 inches
width = 7 inches
Step-by-step explanation:
p= 2(l+b)
let lenght be x
width be y
so x=y+6
40 = 2(y+6 + y)
40= 2( 2y+6 )
20= 2y +6
2y = 20-6
2y=14
y=7
x=7+6=13
so lenght is 13 inches
width is 7 inches
The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.
Explanation:The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).
In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.
By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.
Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.
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Which number is a rational number? A. B. C. D.
Answer:
a
Step-by-step explanation:
there were 15 questions of which nicole answered 8 incorrectly at this rate how many should she expect to answer correctly if she answers a total of 135 questions
Answer:
72 Wrong, so find how many are right with 135 total
Step-by-step explanation:
It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.
so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number. If it helps 8/15 is about 53%. just like 1/2 is half. So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.
so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72. So 72 wrong so al others are right, which you get with 135-72 = 63.
You could also do 135*(1-8/15) = 135 * 7/15. if you ever want to find something NOT part of the proportion you do 1 - that proportion.
The product of 7/10 and another factor
is greater than 7/10. Which could be
the other factor?
A. 4/3
B. 5/9
C. 10/12
D. 7/7
Answer:a
Step-by-step explanation:Because four divide by three is one point and thirty three
Final answer:
To find a factor that when multiplied with 7/10 results in a greater number, the factor must be greater than 1. The only option greater than 1 is 4/3. Therefore, the correct answer is A. 4/3.
Explanation:
The question is asking to find a factor that when multiplied with 7/10, results in a product that is greater than 7/10. To have a resulting product greater than 7/10, the other factor must be greater than 1, as multiplying by a number greater than 1 increases the value of the original number. Let's evaluate the options:
A. 4/3 - This fraction is greater than 1 because 4 divided by 3 is approximately 1.33.B. 5/9 - This fraction is less than 1 because 5 divided by 9 is approximately 0.56.C. 10/12 - This fraction simplifies to 5/6, which is less than 1.D. 7/7 - This fraction simplifies to 1, which would mean the product is the same as the original number (7/10).Therefore, the correct answer is A. 4/3, since it is the only option greater than 1 and will result in a product greater than 7/10 when multiplied together.
URGENT 20 POINTS
Which experiment has a non-uniform probability model? SELECT TWO ANSWERS.
A.Tossing a fair coin one time
B.Randomly guessing the answer to a question on a multiple choice test that has four answer choices for each question
C.Spinning a spinner with sections that are different sizes
D.Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble
E.Spinning a spinner on which all sections are the same size
Answer: the answer is c,d or b,d but i think it i c and d
Step-by-step explanation:
How much 5/16 are in 1 7/8
Answer:
convert 1 7/8 to an improper fraction.
1 times 8 is 8 plus 7 is 15.
1 7/8 = 15/8
15/8=30/16
30/16 divided by 5/16 is 6.
six 5/16 are in 1 7/8
What is the solution of the equation 3x + x + 8 = 4?
a. -1 c. 2
b. 1 d. 4
Answer:
a. -1
Step-by-step explanation:
Simply the equation: 3x+x+8=4
1st step: 4x+8=4
2nd step: 4x=4-8
3rd step: x=[tex]\frac{-4}{4}[/tex]
4th step: x= -1
Is 4÷2/7 the same as 4 groups of 2/7 yes or no explain your answer
Answer:
14
Step-by-step explanation:
4/(2/7)=(4/1)(7/2)=28/2=14
A box of chocolate has 45 pieces. 9 pieces have nuts in them, what percent of the candy is without nuts?
Answer:
80% of the candies are without nuts.
9/45 = 0.2
0.2 = 20%
The remainder is 80%
I don't know how to do it?
Answer:
130°
Step-by-step explanation:
A hexagon's angels should be 720°.
so we need to substract the outer angels to find the interior angels.
180-75=105
180-38=142
180-42=138
180-65=115
180-90=90
then we add them up with x and equal it to 720
105+142+138+115+90+x=720
720-590=x
x=130
a=130
Answer:
a = 130°
Step-by-step explanation:
The interior angle of a polygon is calculated as
180° - exterior angle, thus
180° - 75° = 105°
180° - 42° = 138°
180° - 65° = 115°
180° - 90° = 90°
180° - 38° = 142°
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
105 + 138 + 115 + 90 + 142 + a = 720, that is
590 + a = 720 ( subtract 590 from both sides )
a = 130
What is the inequality x+5<2
Answer:
x < - 3
Step-by-step explanation:
Given
x + 5 < 2 ( subtract 5 from both sides )
x < - 3
Yo sup??
x+5<2
adding -5 on both the sides
x+5-5<2-5
x<-3
Therefore x can take any value from -3 (-3 not included) to negative infinity.
Hope this helps.
I’ve been stuck on this someone please help me solve this question
Answer:
part A) [tex]f=2.75p[/tex]
par B) [tex]38.5\ cups\ of\ flour[/tex]
Step-by-step explanation:
Part A)
Let
p ----> the number of pounds of cake
f ----> the number of cups of flour
we know that
A relationship between two variables, p, and f, represent a proportional variation if it can be expressed in the form [tex]k=\frac{f}{p}[/tex] or [tex]f=kp[/tex]
Find the value of k
For p=3, f=8.25 ----> [tex]k=\frac{8.25}{3}=2.75[/tex]
therefore
The linear equation is
[tex]f=2.75p[/tex]
Part B) we have
For p=14
substitute in the equation and solve for f
[tex]f=2.75(14)=38.5\ cups[/tex]
The bench below is a rectangular prism on top of two cubes. The total height of the bench is
8 inches. What is the volume of this bench?
- 25 inches
4 inches
4 inches
4 inches
424 cubic inches
464 cubic inches
228 cubic inches
528 cubic inches
WILL GIVE BRAINLIEST AND A THANKS
Question:
The image of the question is attached below.
Answer:
Volume of the bench = 528 cubic inches
Solution:
Side of the cube = 4 inch
Volume of a cube = side × side × side
= 4 inch × 4 inch × 4 inch
Volume of a cube = 64 cubic inches
Volume of 2 cubes = 2 × 64 cubic inches
Volume of 2 cubes = 128 cubic inches
Length of the prism = 25 inch
Breadth of the prism = 4 inch
Height of the prism = 8 – 4 = 4 inch
Volume of the rectangular prism = length × breadth × height
= 25 inch × 4 inch × 4 inch
Volume of the rectangular prism = 400 cubic inches
Volume of the bench = volume of 2 cube + volume of the rectangular prism
= 128 cubic inches + 400 cubic inches
Volume of the bench = 528 cubic inches
Hence volume of the bench is 528 cubic inches.
Answer:528
Step-by-step explanation:
100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
b = 30 ft
b = 5x ft
b = 10 ft
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
[tex]\frac{1}{2}[/tex] × b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = [tex]\frac{30x+150}{3x+15}[/tex] ← factor numerator and denominator
= [tex]\frac{30(x + 5)}{3(x+5)}[/tex] ← cancel the factor (x + 5) on numerator/denominator
= [tex]\frac{30}{3}[/tex]
= 10
Answer:
b = 10ft
Step-by-step explanation:
Area = ½ × base × height
15x + 75 = ½ × base × (3x + 15)
30x + 150 = base × (3x + 15)
10(3x + 15) = base × (3x + 15)
base = 10
which equation is equivalent to 3 = 87 ÷ h
Answer
3h=87 or h=87/3
Step-by-step explanation:
Answer:
Let's see...
Step-by-step explanation:
Equation formats:3h = 873 = 87/hh = 87/3I hope this helps!
- sincerelynini
y=3/4 x-4
Any help?
(y=3
- x-4
4
Soo confused. What am I supposed to do?
Answer:
see graph of y=3/4 x-4
Step-by-step explanation:
Assuming you mean
[tex]y = \frac34x - 4[/tex]
Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.
You have to be careful on how you write these equations down. It might very well be that you meant:
[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]
However, those are more complex so I'm hoping for the first one... ;-)
(X^2+2x+5)(2x) simplify this
Answer:
Step-by-step explanation:
(X²+2x+5)(2x)
= 2x(x²) +2x(2x) + 2x(5)
= 2x³ + 4x² + 10x
2> n +0.8 I don’t understand
Answer:
1.2 > n
Step-by-step explanation:
Step 1: Solve for n
2 > n + 0.8
2 - 0.8 > n + 0.8 - 0.8
1.2 > n
Answer: 1.2 > n
What’s the answers please help
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial. 1. 7x^4 + 5x^2 + x − 9 2. 7x^6 − 4x^3 + 1/x
Answer:
As the degree of the polynomial is said to be the highest degree of any of the terms. Therefore, the degree of [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] is 4The expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable [tex]x[/tex] is in the denominator.Step-by-step explanation:
Considering the given expressions
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex][tex]7x^6\:-\:4x^3\:+\:1/x[/tex]As we know that
A polynomial is considered to be the sum of monomials where each monomial is said to be a term.The degree of a polynomial is the considered to be the greatest degree of its terms.A polynomial is normally written with the term with the highest exponent of the variable first and afterwards decreasing from left to right.The first term of a polynomial is said to be the leading coefficient.The degree of the polynomial is said to be the highest degree of any of the terms.Now, considering the expression
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]Here, the first term (monomial) i.e. [tex]7x^4\:[/tex] has the highest exponent of the variable. Here, the highest exponent is 4.
As the degree of the polynomial is said to be the highest degree of any of the terms.
Therefore, the degree of [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] is 4.
The polynomial [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] can also be called a quadrinomial as it has four terms.
Also considering the second expression
[tex]7x^6\:-\:4x^3\:+\:1/x[/tex]This expression is not a polynomial.
For an expression to be a polynomial, it must must have to carry
no square roots of variables. For example, [tex]\sqrt{y}[/tex] is not a polynomial as the variable y is inside a radical. no fractional or negative powers on the variables, For example, [tex]5x^{-3}[/tex] is not a polynomial as the x variable has a negative exponent.and no variables in the denominators of any fractions. For example, [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.Therefore, the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.
Keywords: degree, monomial, polynomial, expression
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