1answer.
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
k0ka [10]
2 years ago
6

Bob spent $64 for two shirts, including tax. The difference between the costs of the shirts was $16. Write two equations that yo

u will use to solve the system
Mathematics
2 answers:
NemiM [27]2 years ago
8 0

Answer:

The cost of the shirts are $40 and $24

Step-by-step explanation:

Let

x ----> the cost of one shirt

y ----> the cost of the other shirt

we know that

x+y=64 ----> equation A

I assume that the cost x is greater than the cost y

so

x-y=16 ----> x=y+16 ---> equation B

solve the system by substitution

substitute equation B in equation A

y+16+y=64

solve for y

2y=64-16

2y=48

y=\$24

Find the value of x

x=y+16 ---->  x=24+16=\$40

therefore

The cost of the shirts are $40 and $24

djyliett [7]2 years ago
5 0

x+y=64 and x-y=16 can be used to solve the system.

Step-by-step explanation:

Let,

x,y be the two shirts.

According to given statement;

Bob spent $64 on both shirts;

x+y=64    Eqn 1

The difference between the costs of the shirts was $16 means subtraction;

x-y=16      Eqn 2

x+y=64 and x-y=16 can be used to solve the system.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/902892
  • brainly.com/question/909731

#LearnwithBrainly

You might be interested in
8.912.573 rounded to the ten-thousands is
bija089 [108]

Answer:

8.900.000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3,969 + b^2 = 11,025
ludmilkaskok [199]

Answer:

b=84

Step-by-step explanation:

from your equation, subtract 3969 from each side

you are left with b^2=7056

sqrt b^2 = sqrt 7056

b=84

7 0
3 years ago
Read 2 more answers
I don't how how to do this someone please help!​
Nutka1998 [239]

Answer:

Answer to question 8 is : Area =1017.88 and Circumference =113.1

Answer to question 9 is: Area =490.87 and Circumference =78.54

Step-by-step explanation:

8. i just did  πr2for area and for circumference i did 2πr which is just the equation to find each

9.i found that half of the diameter is 12.5 so i did πr2 to find the Area i filled in the radius and pai and 2πr for circumference filled in the pai and radius

oh also round it if u want

plz give me brainliest and rate it that u and goodluck

3 0
2 years ago
A.) find the test statistic
Arada [10]

Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic of the t-distribution is given by the equation presented as follows:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

In which the variables of the equation are given as follows:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the hypotheses.
  • s is the standard deviation of the sample.
  • n is the sample size.

The value tested at the hypothesis is:

\mu = 60

From the sample, using a calculator, the other parameters are given as follows:

\overline{x} = 62.47, s = 19.2, n = 15

Hence the test statistic is obtained as follows:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}

t = 0.49.

<h3>What are the p-value and the conclusion?</h3>

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

  • 15 - 1 = 14 df, as the number of degrees of freedom is one less than the sample size.
  • t = 0.49, as obtained above.

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

5 0
1 year ago
Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
2 years ago
Other questions:
  • Given that f(x)=2x+1 and g(x)=-5+2, solve for f(g(x)) when x=3
    11·1 answer
  • Solving slope (1,1/2),(3,2)
    10·1 answer
  • Mary can type six letters in 20 minutes, Maggie can type five letters in 20 minutes, and Su Ying can type two letters in 20 minu
    6·1 answer
  • 3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
    13·2 answers
  • Maghan works at an ice cream truck and makes $8.25 per hour.lucas works for a ladscape and makes $6.50 per hour.how much more do
    12·1 answer
  • What is the solution to this linear system? Enter a value in each box to create an ordered pair.
    15·2 answers
  • 25% of the fruits collected were ripe. Ìf 50 fruits were ripe, find the total number of fruits collected.
    5·1 answer
  • What graph below shows the solution for the linear inequality y ≥ -1/3x+1?
    8·2 answers
  • One angle of an isosceles triangle measures 34°. Which other angles could be in that isosceles triangle? Choose all that apply.
    9·1 answer
  • the number in this sequence increase by 40 each time. 30 70 110 115... the sequence is continued with the same rule. Which numbe
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!