Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equation to represent how many more cups of orange juice Sam needs

Answers

Answer 1

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]


Related Questions

PLEASE HELP ITS MATH!!!!


This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true? A. x = 27 because 180−109−44=27 B. x = 65 because 109−44=65 and 44 + 65 = 109 C. x = 71 because 180−109=71 D. x = 153 because 109 + 44 = 153 and 153−44=109


MEASUREMENTS (down below)


A triangle with base on an extended line. Two angle measures are given. Top interior angle is forty-four degrees. Lower right exterior angle is one hundred nine degrees. Lower left interior angle is labeled x degrees.

Answers

Answer:

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

what is the slope of (4,-6) and (4,4)​

Answers

Answer:

Undefined

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-(-6))/(4-4)

m=(4+6)/0

m=10/0

undefined

help me please i don’t understand

Answers

Answer:

please go through the steps

HELP ME PLeaseee!!!!

Answers

6th of the term of 4th

Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

Hey guys please help!!

Answers

Answer:

Yes

Step-by-step explanation:

g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)

(1) × 4

4y = - x + 1

x = - 4y + 1

y = - 4x + 1

f(x) = - 4x + 1

∴ f(x) and g(x) are inverses

A store in Madison, Wisconsin, advertised an HDTV for $1,224.95.
a. What is the sales tax if the combined state and city rate is 6 percent?
b. What is the total purchase price?

Answers

Answer:

a. $73.50

b. $1298.45

Step-by-step explanation:

6% of $1224.95 is $73.50

add them and it's $1298.45 total

Find sin B as a decimal and round to the nearest hundredth.

Answers

Answer:

sin B= 33.06

Step-by-step explanation:

Hope this Helped!

Pls help I hate math
A water container in the shape of a rectangular prism has a length of 2 meters, a width of 3/4 meter, and a height of 1/2 meter. If a cubic meter of water costs $1.20, what is the cost to fill the container?

Answers

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Find −2.45−(−3.9)
-
2
.
45
-
(
-
3
.
9
)
. Write your answer as a decimal to the nearest hundredth.

Answers

The nearest hundredth is  1.45.

How to find  nearest hundredth?

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Find −2.45−(−3.9)

Remove the parenthes:

-2.45+3.9

calculate the sum or diffrerece

1.45

round the number 1.45

The answer is 1.45

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth." A hundredth is 1/100 or 0.01 in decimal form. For instance, 2.17 is the result of rounding 2.167 to the nearest tenth.Look at the next place value to the right to round a number to the next hundredth (the thousandths this time).

To learn more about nearest hundredth refer to:

https://brainly.com/question/15676189

#SPJ2

The decimal point is the dot that separates the whole number from the fractional part of the number.

The decimal to the nearest hundredth exists 1.45.

What is meant by decimal number?

Integer and non-integer numbers are often expressed using the decimal numeral system.

Decimals are a type of number in algebra that have a whole number and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional part of the number.

The term "decimal" refers to the base-10 number system, which is arguably the most widely used. The ten single-digit numbers that make up the decimal number system are 0 through 9, or just 1, 2, 3, 4, 5, 6, and 7. 10 is the number that follows 9. 20 comes follows the number 19, and so on.

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Let the given equation be −2.45 − (−3.9)

= -2.45+3.9

simplifying the above equation, we get

= 1.45

Therefore, the decimal to the nearest hundredth exists 1.45.

The complete question is:

Find -2.45-(-3.9). Write your answer as a decimal to the nearest hundredth.

To learn more about decimal number refer to:

https://brainly.com/question/1827193

#SPJ2

Which answer choice shows the decimals in order from least to greatest?
A. 0.013, 0.0104, 0.0118, 0.0108, 0.00149
B. 0.00149, 0.0104, 0.0108, 0.0118, 0.013
C. 0.013, 0.0118, 0.0108, 0.0104, 0.00149
D. 0.013. 0.0118. 0.0108. 0.00149. 0.0104

Answers

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

The correct answer is B!

help, will give brainliest, due tonight, help asap

Answers

Answer:

(8,5)

Step-by-step explanation:

quadratic formula

equivalent Find the number that makes the ratio equivalent to 1:7. 4:​

Answers

Answer:

28

Step-by-step explanation:

Ratios are like fractions. Since you're finding an equivalent ratio, u can set them up like equivalent fractions and put an x where the missing number would go:

[tex]\frac{1}{7} = \frac{4}{x}[/tex]

You can either cross multiply and then solve for x, but it's easier to just think about it. The fractions are equivalent, right? So for them to be the same you'd have to do to the bottom what u do to the top.

To get from 1 to 4, you multiply by 4. By that logic, to get from 7 to x you'd have to multiply by 4 as well. Therefore x = 7x4, which is 28.

So x = 28

Find x ?






PLEASE HELP

Answers

Answer:

x = 16

Step-by-step explanation:

Write a small statement to convince others of the importance of food safety

Answers

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

Rosalia passed out fliers that say, “Vote for Rosalia!" She
gave out 85 fliers on Monday, 66 fliers on Tuesday, and
99 fliers on Wednesday. What fraction of the fliers did
she give out on Wednesday? Use a diagonal fraction bar
in your answer Explain how you found the answer

Answers

Answer:

Step-by-step explanation:

there is a total of 250 fliers. the simplist form is 99/250

Answer:80

Step-by-step explanation:it’s -19 then +33 so 85-19=66 and 66+33=99

Lily begins solving the equation 4(x-1)-x=3(x+5)-11. Her work is shown below. 4(x-1) - x = 3 (x+5)-11 4x −4) −x =3x +15 −11 3x-4= 3x+4 How can her solution be interpreted? The equation has no solution The equation has one solution: x=0x=0. The equation has infinitely many solutions. The equation has one solution: x=8x=8.

Answers

Answer:

Um...

Step-by-step explanation:

Hai

1/2 x 1/2 x 1/2 =
what is the Answer?

Answers

Answer:

.3

Step-by-step explanation:

Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

Answers

Answer:

2 stalls

Step-by-step explanation:

Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

1 stall = 4 bundles

4 bundles = 1 stall

11 bundles = x

Cross Multiply

4x = 11

x = 11/4

x = 2 3/4 stalls

The greatest number of stalls he can build is 2 stalls

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4, 7203)(4,7203).

Answers

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]

Simplify the expression, show all of your work.
3 +[tex]5^{2}[/tex] - 9 ÷3×4

Answers

Answer:

16

Step-by-step explanation:

=3+25−9÷3(4)

=28−9÷3(4)

=28−(3)(4)

=28−12

=16

I hope this helps. Have a good day!!

¿conjunto de fuerzas aplicado sobre un objeto de manera que la linea de accion de todas las fuerzas convergan en un mismo punto?, ¿ cual es el conjunto de esas fuerzas? ​. agradecería mucho si lo contestan porfis uwu

Answers

Answer:

Fuerzas Convergentes

Fuerza Resultante

Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?​

Answers

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

please help me on this will give you brainliest!!

Answers

Answer:

Mesure 6 is 116 mesure 8 is 116

Step-by-step explanation:

What is the measure of angle ABD in trapezoid ABCD?

24°
40°
64°
92°

Answers

The answer is 24!!!!!!

Help I need help Hurry please

Answers

Answer:

divide by 105 lol.

Step-by-step explanation:

1500/105.... just plug n in, n = 105

Answer:

A $14.29

Step-by-step explanation:

d = 1500/n

d = 1500/105

d = 14.2857..

d = $14.29

helpp please 6a-11=13

Answers

Answer:

A=18 because 6+18 (was 6+a) is 24 - 11 = 13

Step-by-step explanation:

A=18

Answer:

a = 4

Step-by-step explanation:

add 11 on the = side 11+13 = 24

now you're left with: 6a=24

divide 6÷24

a= 4

if ABCD is a parallelogram then what is the measure of < A - <C​

Answers

Answer:

The answer is 0.

Solve for n just some homework

Answers

The answer is 4
You multiply 56x0.5 then divide by 7 :)

Answer:

4

Step-by-step explanation:

Plea look at the photo of Parallelogram properties.
Question: Find the measurement indicated in each parallelogram.
Please explain it you can:)

Answers

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

Need help with this (10 points)

Answers

Answer:

5 is greater than equal to 5. So f(5)=5+8=13

Step-by-step explanation:

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