Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?

Answer:

The third angle is 128°.

Step-by-step explanation:

We need to remember that the sum of the 3 angles of a triangle is 180°, hence if we have 2 angles, the third angle is:

[tex] 180 = \alpha + \beta + \theta [/tex]

[tex] 180 = 12 + 40 + \theta [/tex]

[tex] \theta = 180 - 52 [/tex]

[tex] \theta = 128 [/tex]

Therefore, the third angle is 128°.

I hope it helps you!

Answer: 43 yards.

Step-by-step explanation:

Let the shape of the area occupied for festival be rectangle.

and area of rectangle = length x width

Given: Area of the festival= 2,494 square yards.

Length of the festival=  58 yards

Then width = (Area )÷ (length)

=  (2494)÷58  yards

= 43 yards

hence, the  width of the festival = 43 yards.

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

Answer:

i am pretty sure it would be 8

Step-by-step explanation:

when it rounds to 2 but also rounds to 100, 8 would be the best bet.

Answer:

Yes

Step-by-step explanation:

Answer:

-6x-24

Step-by-step explanation:

all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0

Answer:

2

Step-by-step explanation:

Because its more than likely asking whats in side the parenthisis

Answer:

ln(2) = 0.6931

Step-by-step explanation:

"ln" stands for natural logarithm.

You can memorize the "ln" of some of the basic prime numbers.

ln(2) = 0.6931

ln(3) = 1.0986

ln(5) = 1.6094

Beest of Luck!

Answer:

it will be in the thousands  place for sure

Step-by-step explanation:

hope that helps =) i forgot there were a decimal point

Answer:

The place value of 5 in "123.465" is the thousandths

Step-by-step explanation:

The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

Step-by-step explanation:

29x - 3 + 15x + 7 = 180° because these two angles are supplementary

if we add like terms

44x + 4 = 180

44x = 176 divide both sides by 44

x = 4

29x - 3 = 13y - 17 because alternate exterior angles has same measurement

since we found the value of x let's rewrite the equation

4 × 29 - 3 = 13y - 17

113 = 13y - 17

130 = 13y divide both sides by 13

10 = y

Answer:

4/5

Step-by-step explanation:

Answer:

1 3/5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

52%

Step-by-step explanation:

Number of hours of sleep a student gets = 5.28hrs

A teacher wants the student to get = 8hrs of sleep

Unknown:

Percentage increase in the number of hours the student will sleep = ?

Solution:

  Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100

 Percentage increase  = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%

  Percentage increase  = 52%

Answer:

[tex]5\sqrt{ 7[/tex]

Step-by-step explanation:

[tex]\sqrt{75} \\\\perfect squares: 1,25\\\\175/25 = 7\\\\\sqrt{25} = 5 \\\\[/tex]

768 square meters.

We can break it down into two shapes, a rectangle and a triangle.

Rectangle:

[tex]a = b \times h[/tex]

[tex]a = (48) \times (11)[/tex]

[tex]a = 528m^{2} [/tex]

Triangle:

[tex]a = \frac{b \times h}{2} [/tex]

[tex]a = \frac{(48) \times (10)}{2} [/tex]

[tex]a = \frac{480}{2} [/tex]

[tex]a = 240m^{2} [/tex]

Add them together:

[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]

im not sure just yet

Answer:

Millions

Step-by-step explanation:

Answer:

one million

Step-by-step explanation:

The Answer fam is......... D) (1,2)

The solution for the given system of equations as per linear and quadratic equation is (x, y) = (1, 2).

"A linear equation is an equation in which the highest power of the variable is always 1."

"A quadratic equation is an equation in which the highest power of the variable is always 2."

Given two linear equations are:

y = 5x – 3                        (1)  

y = x² + 3x – 2                (2)

Therefore, combining the two equations, we get:

5x - 3 = x² + 3x - 2

⇒ x² - 5x +3x - 2 + 3 = 0

⇒ x² - 2x + 1 = 0

⇒ (x)² - 2 × x × 1 + (1)² = 0

⇒ (x - 1)² = 0

⇒ (x - 1) = 0

⇒ x = 1

Now substituting the value of 'x' in the equation (1), we get:

y = 5 × 1 - 3

⇒ y = 2

Therefore, by solving the given two equations, we get: x = 1, y = 2.

Learn more about linear and quadratic equation here: https://brainly.com/question/26020597

#SPJ2

Answer:

u = 65/7

Step-by-step explanation:

u/5 = 13/7

Using the cross product

7u = 5*13

7u = 65

Divide each side by 7

7u/7 = 65/7

u = 65/7

Answer:

744

Step-by-step explanation:

Answer:

Add the 3 then subtract that from 325

you should know part B

Step-by-step explanation:

Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132

Step-by-step explanation:

The value of the present value of the given is 65440.1194.

We have given that,

The following group of values was entered into the TVM Solver of  graphing.

calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;

[tex]PV=FV/(1+i)^n[/tex]

[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]

[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]

[tex]=\frac{1000.40602\dots }{0.0065\cdot \:1.0065^{132}}[/tex]

[tex]=65440.11940[/tex]

Therefore, The value of the present value of the given is 65440.1194.

To learn more about the present value visit:

https://brainly.com/question/20813161

#SPJ2

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

[tex] 3x + 8 = 4x + 6[/tex]

[tex]8 = 4x + 6 - 3x[/tex]

[tex]8 = 1x + 6[/tex]

[tex]1x + 6= 8[/tex]

[tex]1x = 8 - 6[/tex]

[tex]1x = 2[/tex]

[tex]x = 2[/tex]

Then :-

EF =

[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]

CD =

[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]

Given that CD=3x+8 and EF=4x+6

[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]

The value of x=2

Now we find measure of CD

[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]

The measure of CD is 14

Learn more :  brainly.com/question/18373823

Answer:

yes they can be the same

Step-by-step explanation:

yes