answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
attashe74 [19]
2 years ago
13

Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was 5/7 of the total amount that he spent at

the store. Which statements can be used to find x, the total amount that Isaiah spent at the store? Check all that apply
Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0
5/7 of the total amount = 19.60

5/7x = 19.60...with x being the total amount
x = 19.60 * 7/5
x = 137.20 / 5
x = 27.44
mina [271]2 years ago
4 0

Answer:

Total amount that Isaiah spent at the store is  $27.44 .

Step-by-step explanation:

As given

Isaiah spent $19.60 on a gift for his mother.

The amount that he spent on the gift was \frac{5}{7} of the total amount that he spent at the store.

As x represented the  the total amount that Isaiah spent at the store .

Equation becomes

\frac{5}{7}\times x = 19.60

\frac{5x}{7} = 19.60

\frac{7\times 19.60}{5} = x

\frac{7\times 19.60}{5} = x

\frac{137.2}{5} = x

x  = $27.44

Therefore the total amount that Isaiah spent at the store is  $27.44 .

You might be interested in
If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers
Contact [7]
Let the first integer be x.  Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or      x^2 - 19x - 462 = 0

Solve by completing the square:

          x^2 - 19x + 90.25 - 90.25 - 462 = 0

           (x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
                                                                                    x        = 33

The two consecutive integers are 33 and 34.

Check:  (33)(34)-20(34) = 442 (as expected).

            
8 0
2 years ago
If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3
Ghella [55]

Answer:

Joint variation says that:

if x \propto y and x \propto z

then the equation is in the form of:

x = kyz, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

⇒8 = 36k

Divide both sides by 36 we have;

\frac{8}{3}=k

Simplify:

k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

⇒16 = \frac{12}{9}z

Multiply both sides by 9 we have;

144 = 12z

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

7 0
2 years ago
Read 2 more answers
Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 3.5 inches. Volume (to the neares
Juli2301 [7.4K]
To solve the problem shown above, you must apply the proccedure shown below:

 1. You must use tthe formula for calculate the volume of a sphere, which is:

 V=4πr³/3

 V is the volume of the sphere.
 r is the radius of the sphere (r=3.5 inches)

 2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:

 V=4πr³/3
 V=4π(3.5 inches)³/3

 3. Therefore, the answer is:

 V=179.5 inches³
4 0
2 years ago
Read 2 more answers
1. which angle is congruent to Angle 1?
Inessa [10]

<u>Part 1) which angle is congruent to Angle 1?</u>

we know that

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called <u>corresponding angles</u>

m∠5=m∠1 ----------> by corresponding angles postulate

therefore

<u>the answer Part 1) is </u>

Angle 5

Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?

we know that

<u>Alternate exterior angles</u> are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

in this problem

m∠1=m∠8 -------> by alternate exterior angles theorem

therefore

<u>the answer part 2) is the option </u>

Alternate Exterior Angles Theorem

<u>Part 3) If m Angle 5 = 42 degrees, what is m Angle 4?</u>

we know that

<u> Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal

m∠4=m∠5 --------> by alternate interior angles theorem

so

m∠4=42\ degrees

therefore

<u>the answer Part 3) is</u>

42\ degrees

5 0
2 years ago
Read 2 more answers
A scientist is studying red maple tree growth in a state park. She measured the trunk diameters of a sample of trees in the same
Natali5045456 [20]
Point b is the correct answer love!
4 0
1 year ago
Other questions:
  • A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 3 miles to the roa
    10·1 answer
  • What is the greatest common divisor of $1665,$ $4554,$ $1683,$ and $4050$?
    15·2 answers
  • If a polynomial function f(x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f(x)? 3 + i StartRoot 11
    7·2 answers
  • Fred earns $16.50 an hour for overtime. He worked overtime on Monday and Thursday this week. On Monday, he worked 4 hours of ove
    14·1 answer
  • Ria is performing an experiment in chemistry class with a certain
    6·1 answer
  • A cell phone tower at point A receives a cell phone signal from the southeast. A cell phone tower at point B receives a signal f
    6·1 answer
  • Multiply 8674 x 678 is what
    5·1 answer
  • A parabolic arch sculpture is on top of a city bank. A model of the arch is y = −0.005x2 + 0.3x where x and y are in feet.
    7·1 answer
  • Steven and Julio each have 13 marbles. Megan has twice the number of marbles as Steven and Julio combined. Steven thinks that me
    14·1 answer
  • Tatiana wants to give friendship bracelets to her 323232 classmates. She already has 555 bracelets, and she can buy more bracele
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!